Asymptotics of the hypergeometric function

被引：42
|
作者：
Jones, DS [1 ]
机构：
[1] Univ Dundee, Dept Math, Dundee DD1 4HN, Scotland
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2001年 / 24卷 / 06期
关键词：
D O I：
10.1002/mma.208
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An asymptotic representation is obtained for the hypergeometric function F(a + lambda, b - lambda ,c, 1/2 - 1/2z) as \lambda\ --> infinity with \ph lambda\<<pi>. It is uniformly valid in the z-plane cut in an appropriate way. Several other forms of the hypergeometric function are discussed also. Another representation which has some advantages over the conventional one is given as well. Copyright (C) 2001 John Wiley & Sons, Ltd.
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页码：369 / 389
页数：21
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